0580/13 May/Jun 2024, Question 10: Pattern Sequences and Special Sequences

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks

The question, in short

Two sequences are given by their first four terms: 3, 10, 17, 24 and 16, 14, 11, 7. Find the next term and the term to term rule for the first, and the next two terms of the second.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (ai) · 1 mark

Write down the term that follows 24 in the sequence 3, 10, 17, 24.

124 + 7 = 31

Answer31

Part (aii) · 1 mark

State the term to term rule that continues the sequence 3, 10, 17, 24.

1Differences are 7 each time: add 7

Answeradd 7

Part (b) · 2 marks

Write down the next two terms of the sequence 16, 14, 11, 7.

1Differences: −2, −3, −4, so next −5, −6
27 − 5 = 2, 2 − 6 = −4

Answer2, −4

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